What is the Least Common Multiple of 66138 and 66147?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 66138 and 66147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66138 and 66147, than apply into the LCM equation.

GCF(66138,66147) = 3
LCM(66138,66147) = ( 66138 × 66147) / 3
LCM(66138,66147) = 4374830286 / 3
LCM(66138,66147) = 1458276762

Least Common Multiple (LCM) of 66138 and 66147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66138 and 66147. First we will calculate the prime factors of 66138 and 66147.

Prime Factorization of 66138

Prime Factorization of 66147

Now multiplying the highest exponent prime factors to calculate the LCM of 66138 and 66147.

LCM(66138,66147) = 2¹ × 3¹ × 73¹ × 151¹ × 17¹ × 1297¹
LCM(66138,66147) = 1458276762